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Finding the Third Proportional to 197,872 and 438,428

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Solution

The third proportional to 197,872 and 438,428 is: 971,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,872 : 438,428 = 438,428 : x
  2. Step 2: Convert to fraction form
    197,872/438,428 = 438,428/x
  3. Step 3: Cross multiply
    197,872x = 438,428 × 438,428
  4. Step 4: Simplify right side
    197,872x = 192,219,111,184
  5. Step 5: Solve for x
    x = 192,219,111,184/197,872
  6. Step 6: Final answer
    x = 971,431.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.